Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion
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Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion. / Zhang, Zhengping; Mouritsen, Ole G.; Zuckermann, Martin J.
I: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Bind 48, Nr. 4, 1993, s. R2327-R2330.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion
AU - Zhang, Zhengping
AU - Mouritsen, Ole G.
AU - Zuckermann, Martin J.
PY - 1993
Y1 - 1993
N2 - The temporal magnetization-direction fluctuations in the three-dimensional classical ferromagnetic Heisenberg model have been generated by Monte Carlo simulation and analyzed by the rescaled-range method to yield the Hurst exponent H. A value of H1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H0.5, reflecting ordinary Brownian motion, applies in the paramagnetic phase. A field-induced crossover from fractional to ordinary Brownian motion has been observed in the ferromagnetic phase.
AB - The temporal magnetization-direction fluctuations in the three-dimensional classical ferromagnetic Heisenberg model have been generated by Monte Carlo simulation and analyzed by the rescaled-range method to yield the Hurst exponent H. A value of H1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H0.5, reflecting ordinary Brownian motion, applies in the paramagnetic phase. A field-induced crossover from fractional to ordinary Brownian motion has been observed in the ferromagnetic phase.
U2 - 10.1103/PhysRevE.48.R2327
DO - 10.1103/PhysRevE.48.R2327
M3 - Journal article
AN - SCOPUS:25944437463
VL - 48
SP - R2327-R2330
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 4
ER -
ID: 236890141